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Finding the Fourth Proportional to 11,211.82, 16,818.03 and 4,638.47

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Solution

The fourth proportional to 11,211.82, 16,818.03 and 4,638.47 is: 6,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.82 : 16,818.03 = 4,638.47 : x
  2. Step 2: Convert to fraction form
    11,211.82/16,818.03 = 4,638.47/x
  3. Step 3: Cross multiply
    11,211.82x = 16,818.03 × 4,638.47
  4. Step 4: Simplify right side
    11,211.82x = 78,009,843.52
  5. Step 5: Solve for x
    x = 78,009,843.52/11,211.82
  6. Step 6: Final answer
    x = 6,957.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.